Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
2532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5852 | 0.7367 | 0.7944 | [X:[1.5761], M:[0.4239, 1.2718, 0.7282, 0.9674, 1.0326, 0.9674, 0.7282], q:[0.9402, 0.6359], qb:[0.3315, 0.3967], phi:[0.4239]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-14], [6]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.185 + t^2.544 + 2*t^2.902 + t^3.261 + t^3.456 + t^3.652 + t^4.011 + 3*t^4.369 + 3*t^4.728 + 5*t^5.087 + 3*t^5.446 + t^5.641 + 3*t^5.805 + 2*t^5.837 - 2*t^6. + 2*t^6.163 + 2*t^6.195 + t^6.522 + 5*t^6.554 - t^6.718 + 5*t^6.913 - t^7.076 + 7*t^7.272 + t^7.304 - t^7.467 + 6*t^7.631 + t^7.663 - t^7.826 + 7*t^7.989 + 4*t^8.021 - 6*t^8.185 + 5*t^8.348 + 3*t^8.38 - 4*t^8.544 + 5*t^8.707 + 7*t^8.739 - 8*t^8.902 - t^4.272/y - t^6.456/y - t^6.815/y - t^7.174/y + (2*t^7.369)/y + (3*t^7.728)/y + (5*t^8.087)/y + (4*t^8.446)/y + t^8.641/y + (2*t^8.805)/y + (2*t^8.837)/y - t^4.272*y - t^6.456*y - t^6.815*y - t^7.174*y + 2*t^7.369*y + 3*t^7.728*y + 5*t^8.087*y + 4*t^8.446*y + t^8.641*y + 2*t^8.805*y + 2*t^8.837*y | 2*g1^6*t^2.185 + t^2.544/g1^4 + (2*t^2.902)/g1^14 + t^3.261/g1^24 + g1^4*t^3.456 + g1^32*t^3.652 + g1^22*t^4.011 + 3*g1^12*t^4.369 + 3*g1^2*t^4.728 + (5*t^5.087)/g1^8 + (3*t^5.446)/g1^18 + g1^10*t^5.641 + (3*t^5.805)/g1^28 + 2*g1^38*t^5.837 - 2*t^6. + (2*t^6.163)/g1^38 + 2*g1^28*t^6.195 + t^6.522/g1^48 + 5*g1^18*t^6.554 - t^6.718/g1^20 + 5*g1^8*t^6.913 - t^7.076/g1^30 + (7*t^7.272)/g1^2 + g1^64*t^7.304 - g1^26*t^7.467 + (6*t^7.631)/g1^12 + g1^54*t^7.663 - g1^16*t^7.826 + (7*t^7.989)/g1^22 + 4*g1^44*t^8.021 - 6*g1^6*t^8.185 + (5*t^8.348)/g1^32 + 3*g1^34*t^8.38 - (4*t^8.544)/g1^4 + (5*t^8.707)/g1^42 + 7*g1^24*t^8.739 - (8*t^8.902)/g1^14 - t^4.272/(g1^2*y) - (g1^4*t^6.456)/y - t^6.815/(g1^6*y) - t^7.174/(g1^16*y) + (2*g1^12*t^7.369)/y + (3*g1^2*t^7.728)/y + (5*t^8.087)/(g1^8*y) + (4*t^8.446)/(g1^18*y) + (g1^10*t^8.641)/y + (2*t^8.805)/(g1^28*y) + (2*g1^38*t^8.837)/y - (t^4.272*y)/g1^2 - g1^4*t^6.456*y - (t^6.815*y)/g1^6 - (t^7.174*y)/g1^16 + 2*g1^12*t^7.369*y + 3*g1^2*t^7.728*y + (5*t^8.087*y)/g1^8 + (4*t^8.446*y)/g1^18 + g1^10*t^8.641*y + (2*t^8.805*y)/g1^28 + 2*g1^38*t^8.837*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
4588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5953 | 0.7556 | 0.7879 | [X:[1.572], M:[0.428, 1.2839, 0.7161, 0.9958, 1.0042, 0.9958, 0.7161, 0.8643], q:[0.9301, 0.642], qb:[0.3539, 0.3622], phi:[0.428]] | 2*t^2.148 + t^2.568 + t^2.593 + 2*t^2.988 + t^3.432 + t^3.457 + t^3.877 + 3*t^4.296 + 3*t^4.716 + 2*t^4.741 + 5*t^5.136 + t^5.161 + t^5.186 + t^5.555 + 3*t^5.58 + 2*t^5.605 + 2*t^5.975 - 2*t^6. - t^4.284/y - t^4.284*y | detail | |
4589 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6038 | 0.7714 | 0.7828 | [X:[1.5787], M:[0.4213, 1.2639, 0.7361, 0.9492, 1.0508, 0.9492, 0.7361, 0.741], q:[0.9467, 0.632], qb:[0.3172, 0.4189], phi:[0.4213]] | 2*t^2.208 + t^2.223 + t^2.528 + 2*t^2.848 + t^3.167 + t^3.472 + t^4.097 + 3*t^4.416 + 2*t^4.431 + t^4.446 + 3*t^4.736 + t^4.751 + 5*t^5.056 + 2*t^5.07 + 3*t^5.375 + t^5.39 + t^5.68 + 4*t^5.695 - 2*t^6. - t^4.264/y - t^4.264*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1452 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7104 | 0.8752 | 0.8117 | [M:[0.8402, 1.0648, 0.9352, 0.9697, 1.0303, 0.9697, 0.9352], q:[0.6274, 0.5324], qb:[0.4374, 0.4979], phi:[0.4762]] | t^2.521 + 2*t^2.806 + t^2.857 + 2*t^2.909 + t^3.376 + t^4.053 + t^4.234 + t^4.338 + t^4.416 + t^4.52 + 2*t^4.623 + t^4.805 + t^4.908 + t^5.041 + t^5.193 + 2*t^5.326 + t^5.378 + t^5.43 + 2*t^5.611 + 2*t^5.663 + 3*t^5.715 + 2*t^5.767 + 2*t^5.818 - 4*t^6. - t^4.429/y - t^4.429*y | detail |